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Phantasy [73]
4 years ago
8

What is the system of solution to y-x=-13 and -4x+3y=-51

Mathematics
1 answer:
poizon [28]4 years ago
8 0
Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39

Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12

Substitude x into equation 1
y - 12 = -13
y = -1
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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
Vera_Pavlovna [14]

Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

   x₁  = 5 and y₁ = 1

  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0
3 years ago
Jake wants to buy a skateboard. The one he is looking at cost $295. It is on sale for 35% off. How much will Jake save if he buy
Aleks [24]

Answer:

191.5

Step-by-step 103.5 explanation:

295 x 0.35(which is 35%) = 103.5

295 - 103.5 = 191.5

hope this helps

3 0
3 years ago
Read 2 more answers
What is the answer for all these numbers
Leya [2.2K]
3=12
4=13
5=14
6=15
7=16
6 0
3 years ago
What number is indicated on the number line
g100num [7]
Depends on the number line my guy
3 0
3 years ago
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A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​
ioda

Answer:

$8460

Step-by-step explanation:

So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.

So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.

So 8000 + 460 = 8460.

Thus, the total price of the car would be $8460.

Cheers.

3 0
3 years ago
Read 2 more answers
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